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Finding the Third Proportional to 948,289 and 1,416,817

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Solution

The third proportional to 948,289 and 1,416,817 is: 2,116,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,289 : 1,416,817 = 1,416,817 : x
  2. Step 2: Convert to fraction form
    948,289/1,416,817 = 1,416,817/x
  3. Step 3: Cross multiply
    948,289x = 1,416,817 × 1,416,817
  4. Step 4: Simplify right side
    948,289x = 2,007,370,411,489
  5. Step 5: Solve for x
    x = 2,007,370,411,489/948,289
  6. Step 6: Final answer
    x = 2,116,834.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.